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Finding the Fourth Proportional to 496.53, 685.94 and 366.26

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Solution

The fourth proportional to 496.53, 685.94 and 366.26 is: 505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.53 : 685.94 = 366.26 : x
  2. Step 2: Convert to fraction form
    496.53/685.94 = 366.26/x
  3. Step 3: Cross multiply
    496.53x = 685.94 × 366.26
  4. Step 4: Simplify right side
    496.53x = 251,227.12
  5. Step 5: Solve for x
    x = 251,227.12/496.53
  6. Step 6: Final answer
    x = 505.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.